400084008000 has 224 divisors, whose sum is σ = 1322561630208. Its totient is φ = 106569216000.

The previous prime is 400084007963. The next prime is 400084008019. The reversal of 400084008000 is 800480004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22479105 + ... + 22496895.

It is an arithmetic number, because the mean of its divisors is an integer number (5904292992).

Almost surely, 2^400084008000 is an apocalyptic number.

400084008000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400084008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661280815104).

400084008000 is an abundant number, since it is smaller than the sum of its proper divisors (922477622208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400084008000 is a wasteful number, since it uses less digits than its factorization.

400084008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18758 (or 18738 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 400084008000 its reverse (800480004), we get a palindrome (400884488004).

The spelling of 400084008000 in words is "four hundred billion, eighty-four million, eight thousand".